Vsauce delivers some awesome insights yet again. Playing games, in any form, are in my opinion a form of intellectual expansion.
Games cause you to think and understand situations that you may not have to deal with in every day life. For example: Let's say you play Call of Duty pretty frequently. While playing you've gotten pretty good at tactical thinking and getting around the map without being detected.
Not let's say you're out in the real world, and you see an Ex that you don't particularly want to see you. Well, after a quick observing your surroundings, you're able to move around the area you're in without being detected.
Kind of a crude example, right? Well, this could also work for the far more controversial and terrifying situation of a public shooting. You're in a mall, and you begin to hear gun shots. Instantly you understand that something terribly wrong is going on, and you try to pin point where the gun shots came from.
At this point, you're terrified. You never thought you would have to deal with something like this, but your survival instincts kick in and they have a very powerful tool at their disposal from your playing Call of Duty: Getting out of the line of fire.
No one is saying you should sneak your way around and take the guy down. In fact, that's not suggested unless you have complete and utter confidence that even if you could reach the shooter, you could incapacitate him so he can't hurt others.
It also applies to basic puzzles and problem solving, and not just with call of duty. Even MMORPGs like World of Warcraft can teach you something about working in a group. They're not always direct "I did this in the game so it should work here", but they are exercises in thinking outside of your normal spectrum of thought.
There are however down sides to playing too MUCH games. If you're more involved with gaming than you are with the real world around you, it's more difficult for you to understand how to apply those concepts IN the real world. If you don't understand the world around you, it's hard to gain any real insights from games that mimic the real world itself.
Regardless of where your thinking is on the subject, I think we've all played games we thoroughly enjoyed. Again, not just video games can provide this. That just happens to be the medium I am most familiar with.